Normal approximation to compute the probability, Civil Engineering

Assignment Help:

Normal approximation to compute the probability:

A lot contains 100 articles of which 10 are defective. The lot is rejected if a random sample of 10 articles drawn from the lot contains more than 2 defectives. Use normal approximation to compute the probability that the lot is accepted.

Solution:

Let X represents the number of defective articles in the sample. The variable X follows the hypergeometric distribution with parameters

N = 100,n - 10,M = l0 and has E(X) = 10.(10/100) = 1 and

V(X) =σ2 = 10.10/100.(1-(10/100)) (100-10/100-1) =9/11

The required probability is

903_Normal approximation to compute the probability.png


Related Discussions:- Normal approximation to compute the probability

Bridge abutment be placed under an embankment, Question It should be necess...

Question It should be necessary that raking piles of a bridge abutment be placed under an embankment ? Answer For a bridge abutment to be supported on raking piles with dive

Compute the porosity of the initial soil sample, A completely saturated sam...

A completely saturated sample of clay has a volume of 31.25 cm 3 and a weight of 0.5866 N. The same sample after drying has a volume of 23.92 cm 3 and a weight of 0.4281 N. Compu

Natural rubber and synthetic rubber, Q. Natural rubber and Synthetic rubber...

Q. Natural rubber and Synthetic rubber? There is often a confusion between the words elastomer and neoprene. While elastomer refers to the generic name of the rubber, neoprene

#titlemichelson interferometer.., Describ the construction and working of M...

Describ the construction and working of Michelson interferometer and discuss tha method to determine wavelength of monochromatic

Determine the example of tendon splices, Determine the example of tendon s...

Determine the example of tendon splices Following are some examples of  tendon splices. (a) Torpedo splice (b) Clamp splice (c)  Screw connectors

Propped cantilever retaining wall, how to combine moments from soil pressur...

how to combine moments from soil pressure and surcharge to get maximum moment

Define cast iron substructure - inspection of bridge, Define Cast iron subs...

Define Cast iron substructure - Inspection of bridge? Cast Iron also has the problem of corrosion due to atmosphere, which is similar to that of steel. However, in acidic or br

What are the stresses on the plane of failure, A granular soil is subjected...

A granular soil is subjected to a minor principal stress of 200 kN/m 2 . If the angle of internal friction is 30°, verify the inclination of the plane of failure with respect to th

What is a projection line, Projection line is the way, in which the earth i...

Projection line is the way, in which the earth is made known on a flat piece of paper.

Explain the principles involved in successful stabilisation, Normal 0 ...

Normal 0 false false false EN-IN X-NONE X-NONE MicrosoftInternetExplorer4

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd